Convert sun(寸) to marathon

Learn how to convert 1 sun(寸) to marathon step by step.

Calculation Breakdown

Set up the equation

1.0 (s u n (寸)) = x (m a r a t h o n)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (s u n (寸)) = \frac{1.0}{33.0} (m e t e r) = \frac{1.0}{33.0} (m)

Right side: 1.0 (m a r a t h o n) = 4.2195 \times 10^{4} (m e t e r) = 4.2195 \times 10^{4} (m)

Insert known values into the conversion equation to determine

x

1.0 (s u n (寸)) = x (m a r a t h o n)

Insert known values =>

1.0 \times \frac{1.0}{33.0} \times (m e t e r) = x \times 4.2195 \times 10^{4} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{33.0} \cdot (m) = x \cdot 4.2195 \times 10^{4} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{33.0} \cdot (m) = x \times 4.2195 \times 10^{4} \times (m)

Conversion Equation

\frac{1.0}{33.0} = x \times 4.2195 \times 10^{4}

Switch sides

x \times 4.2195 \times 10^{4} = \frac{1.0}{33.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.2195 \times 10^{4}})

x \times 4.2195 \times 10^{4} \times \frac{1.0}{4.2195 \times 10^{4}} = \frac{1.0}{33.0} \times \frac{1.0}{4.2195 \times 10^{4}}

Cancel

x \times 4.2195 \times 10^{4} \times \frac{1.0}{4.2195 \times 10^{4}} = \frac{1.0 \times 1.0}{33.0 \times 4.2195 \times 10^{4}}

Simplify

x = \frac{1.0}{33.0 \times 4.2195 \times 10^{4}}

Rewrite equation

\frac{1.0}{10^{4}} can be rewritten to 10^{- 4}

Rewrite

x = \frac{10^{- 4}}{33.0 \times 4.2195}

Solve

x

x \approx 0.0000007182 \approx 7.1817 \times 10^{- 7}

Conversion Equation

1.0 (s u n (寸)) \approx 7.1817 \times 10^{- 7} (m a r a t h o n)

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